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Finding the Fourth Proportional to 289,378.93, 399,345.72 and 160,320.14

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Solution

The fourth proportional to 289,378.93, 399,345.72 and 160,320.14 is: 221,243.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,378.93 : 399,345.72 = 160,320.14 : x
  2. Step 2: Convert to fraction form
    289,378.93/399,345.72 = 160,320.14/x
  3. Step 3: Cross multiply
    289,378.93x = 399,345.72 × 160,320.14
  4. Step 4: Simplify right side
    289,378.93x = 64,023,161,738.80
  5. Step 5: Solve for x
    x = 64,023,161,738.80/289,378.93
  6. Step 6: Final answer
    x = 221,243.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.